Comparison of eigenvalues for the \(p\)-Laplacian with integral inequalities
From MaRDI portal
Publication:858805
DOI10.1016/j.amc.2006.05.027zbMath1112.34069OpenAlexW2029800487MaRDI QIDQ858805
Publication date: 11 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.027
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items
Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations, The distribution of zeroes and critical points of solutions of a second order half-linear differential equation, Mixed eigenvalues of \(p\)-Laplacian, On the zeroes and the critical points of a solution of a second order half-linear differential equation, A note on Tang and He's paper, Lower bounds for generalized eigenvalues of the quasilinear systems, A Lyapunov-type inequality for a \(\psi\)-Laplacian operator, Estimates for eigenvalues of quasilinear elliptic systems. II., Lyapunov-type inequalities for quasilinear systems with antiperiodic boundary conditions, Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the \((p_{1},p_{2},\dots ,p_n)\)-Laplacian, Lyapunov-type inequalities for certain higher order differential equations with anti-periodic boundary conditions, Lyapunov-type inequalities for two classes of nonlinear systems with homogeneous Dirichlet boundary conditions, On Lyapunov-type inequality for quasilinear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Bounds for the eigenvalues of some vibrating systems
- A Lyapunov inequality for monotone quasilinear operators.
- Regularity for a more general class of quasilinear equations
- Sturm-Liouville theory for the radial \(\Delta_p\)-operator
- Lyapunov and Wirtinger inequalities.
- Lower bounds for eigenvalues of the one-dimensional \(p\)-Laplacian
- On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
- On inequalities of Lyapunov type
- Some oscillation and comparison theorems for (r(t)y')'+p(t)y=0
- Asymptotic bounds for the eigenvalues of vibrating systems
- On Eigenvalue Problems of the p-Laplacian with Neumann Boundary Conditions
- Oscillation Criteria for Second-Order Linear Differential Equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- A Picone's identity for the p-Laplacian and applications
- Comparison of Eigenvalues for Linear Differential Equations of Order 2n